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%	TITLE PAGE
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\title[博士学位论文答辩]{南京理工大学\\博士学位论文答辩模板}

\author[南京理工大学]{
答辩人：张三 \\
导师：李四\quad 教授
} % Your name
\institute[南京理工大学] % Your institution as it will appear on the bottom of every slide, may be shorthand to save space
{
南京理工大学 \\ % Your institution for the title page
\medskip
**学院 
}
\date{****年**月**日} % Date, can be changed to a custom date

\begin{document}

\begin{frame}
\titlepage % Print the title page as the first slide
\end{frame}

\begin{frame}
\frametitle{目录}
\scalebox{0.8}{
\begin{minipage}{1\linewidth}
     \tableofcontents
     \end{minipage}}
 \end{frame}

%----------------------------------------------------------------------------------------
%	PRESENTATION SLIDES
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%------------------------------------------------
\section{引言}
%------------------------------------------------
%\AtBeginSection[]
%{
    \begin{frame}
        \tableofcontents[currentsection,hideallsubsections]
    \end{frame}
%}

\subsection{研究背景}


\subsection{论文研究动机和研究成果}
\begin{frame}
\textbf{研究动机：}

\textbf{研究成果：}
\end{frame}

%------------------------------------------------
\section{第一部分}
%------------------------------------------------
%\AtBeginSection[]
%{
    \begin{frame}
        \tableofcontents[currentsection,hideallsubsections]
    \end{frame}
%}


\begin{frame}
	\frametitle{基于二阶时空TGV和核范数的模型}
针对动态MR图像，基于图像分解的思想，利用二阶时空TGV和核范数，提出模型：
\begin{equation}
\min_{L,S} \frac{1}{2}\|A(L+S)-B\|_{\mathrm{F}}^2+\mathrm{TGV}^2_\alpha(S)+\beta\|L\|_*.
\label{propopsed}
\end{equation}
\end{frame}


\begin{frame}
%	\frametitle{模型的求解}
	\begin{center}
	\scalebox{0.95}{
	\begin{minipage}{1\linewidth}
	\begin{algorithm}[H]
	\caption{二阶时空TGV和低秩分解模型的Primal-Dual算法}
	\label{alg:proposed}
	\begin{algorithmic}
		\REQUIRE $\sigma$, $\tau$, $S_0$, $L_0$，令 $L_0=A^*B$，$S_0=0$；
		\INDSTATE[-1] \textbf{迭代：根据以下步骤更新参数：}	
		\STATE 1. $p^{n+1} = \mathcal{P}_{\alpha_1}(p^n+\sigma(\nabla \bar{S}^n-\bar{w}^n))$；
		\STATE 2. $q^{n+1} = \mathcal{P}_{\alpha_0}(q^n+\sigma\mathcal{E}(\bar{w}^n))$；
		\STATE 3. $\lambda^{n+1} = (\lambda^{n}+\sigma(A(\bar{L}^n+\bar{S}^n)-B))/(1+\sigma)$；
		\STATE 4. $S^{n+1} = S^n-\tau(A^*\lambda^{n+1}-\mathrm{div}_1 p^{n+1})$；
		\STATE 5. $w^{n+1} = w^n+\tau(\mathrm{div}_2q^{n+1}+p^{n+1})$；
		\STATE 6. $L^{n+1} = \mathcal{S}_\beta(L^n-\tau A^*r^{n+1})$；
		\STATE 7. $\bar{S}^{n+1} = 2S^{n+1}-S^n$；
		\STATE 8. $\bar{w}^{n+1} = 2w^{n+1}-w^n$；
		\STATE 9. $\bar{L}^{n+1} = 2L^{n+1}-L^n$；
		\ENSURE $x^{n+1}$
	\end{algorithmic}
\end{algorithm}
\end{minipage}}
\end{center}
\end{frame}


%------------------------------------------------
\subsection{数值实验结果与分析}


\begin{frame}
	\frametitle{数值实验结果}
%	\begin{center}
	\scalebox{0.8}{
	\begin{minipage}{1\linewidth}
\begin{table}
	\centering
	\caption{各个模型在不同数据上的重建结果（伪径向采样）}
	\begin{tabular}{|c|c|c|c|c|c|c|}
		\hline
		\hline
		\multicolumn{2}{|c|}{\diagbox{模型}{数据集}}& 躯干体模 & 心脏灌注 & 胸部1 & 胸部2 & 胸部3\\	
		\hline
		\multirow{2}{*}{Zerofilled}
		&SER & 20.54 & 14.80 & 11.32 & 11.57 & 14.85\\
		\cline{2-7}&SSIM & 0.8321 & 0.8855 & 0.4820 & 0.5897 & 0.7086\\
		\hline
		\multirow{2}{*}{kt-SLR}
		&SER & \textbf{33.35} & 17.58 & 17.42 & 13.61 & 18.38\\
		\cline{2-7}&SSIM & 0.9880 & 0.9412 & 0.7712 & 0.6956 & 0.8461\\
		\hline
		\multirow{2}{*}{kt-RPCA}
		&SER & 29.27 & 18.33 & 19.31 & 14.82 & 19.81\\
		\cline{2-7}&SSIM & 0.9700 & 0.9447 & 0.8857 & 0.7920 & 0.9068\\
		\hline
		\multirow{2}{*}{L+S}
		&SER & 27.99 & 19.12 & 17.60 & 14.74 & 19.91\\
		\cline{2-7}&SSIM & 0.9514 & 0.9490 & 0.7675 & 0.7319 & 0.8791\\
		\hline
		\multirow{2}{*}{ICTGV}
		&SER & 26.88 & 17.87 & 16.31 & 12.18 & 16.84\\
		\cline{2-7}&SSIM & 0.9435 & 0.9405 & 0.6735 & 0.6080 & 0.7693\\
		\hline
		\multirow{2}{*}{Proposed}
		&SER & 32.74 & \textbf{19.57} & \textbf{20.56} & \textbf{16.24} & \textbf{21.08}\\
		\cline{2-7}&SSIM & \textbf{0.9917} & \textbf{0.9514} & \textbf{0.9402} & \textbf{0.9091} & \textbf{0.9356}\\
		\hline
	\end{tabular}
	\label{tab:result3}
\end{table}
\end{minipage}}
%\end{center}
\end{frame}

\begin{frame}
\hspace{-0.7cm}
\begin{minipage}{1\textwidth}
%	\begin{figure}[htbp]
	\centering
		\includegraphics[width=0.5\textwidth]{breast.png}
%	\caption{各个模型在躯干体模数据上的重建结果（第1帧）}
%\end{figure}
\end{minipage}
\end{frame}

%------------------------------------------------
\section{第二部分}
%------------------------------------------------
%\AtBeginSection[]
%{
    \begin{frame}
        \tableofcontents[currentsection,hideallsubsections]
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\begin{frame}
	
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%------------------------------------------------
\section{第三部分}
%------------------------------------------------
%\AtBeginSection[]
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    \begin{frame}
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%}

\begin{frame}
	
\end{frame}
%------------------------------------------------
\section{全文总结}

\begin{frame}
    \tableofcontents[currentsection,hideallsubsections]
\end{frame}

\begin{frame}
	
\end{frame}


%------------------------------------------------

\begin{frame}
\centerline{感谢各位专家、老师来参加我的博士论文学位答辩！}
\end{frame}

%----------------------------------------------------------------------------------------
\end{document}